What is the Greatest Common Factor of 97650 and 97670?

Greatest common factor (GCF) of 97650 and 97670 is 10.

GCF(97650,97670) = 10

We will now calculate the prime factors of 97650 and 97670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97650 and 97670.

How to find the GCF of 97650 and 97670?

We will first find the prime factorization of 97650 and 97670. After we will calculate the factors of 97650 and 97670 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 97670

Prime factors of 97670 are 2, 5, 9767. Prime factorization of 97670 in exponential form is:

97670 = 2¹ × 5¹ × 9767¹

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 97670

List of positive integer factors of 97670 that divides 97650 without a remainder.

1, 2, 5, 10, 9767, 19534, 48835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97650 and 97670. The biggest common factor number is the GCF number.
So the greatest common factor 97650 and 97670 is 10.

Also check out the Least Common Multiple of 97650 and 97670