What is the Greatest Common Factor of 97650 and 97660?

Greatest common factor (GCF) of 97650 and 97660 is 10.

GCF(97650,97660) = 10

We will now calculate the prime factors of 97650 and 97660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97650 and 97660.

How to find the GCF of 97650 and 97660?

We will first find the prime factorization of 97650 and 97660. After we will calculate the factors of 97650 and 97660 and find the biggest common factor number .

Step-1: Prime Factorization of 97650

Prime factors of 97650 are 2, 3, 5, 7, 31. Prime factorization of 97650 in exponential form is:

97650 = 2¹ × 3² × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 97660

Prime factors of 97660 are 2, 5, 19, 257. Prime factorization of 97660 in exponential form is:

97660 = 2² × 5¹ × 19¹ × 257¹

Step-3: Factors of 97650

List of positive integer factors of 97650 that divides 97650 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 31, 35, 42, 45, 50, 62, 63, 70, 75, 90, 93, 105, 126, 150, 155, 175, 186, 210, 217, 225, 279, 310, 315, 350, 434, 450, 465, 525, 558, 630, 651, 775, 930, 1050, 1085, 1302, 1395, 1550, 1575, 1953, 2170, 2325, 2790, 3150, 3255, 3906, 4650, 5425, 6510, 6975, 9765, 10850, 13950, 16275, 19530, 32550, 48825

Step-4: Factors of 97660

List of positive integer factors of 97660 that divides 97650 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 257, 380, 514, 1028, 1285, 2570, 4883, 5140, 9766, 19532, 24415, 48830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97650 and 97660. The biggest common factor number is the GCF number.
So the greatest common factor 97650 and 97660 is 10.

Also check out the Least Common Multiple of 97650 and 97660