What is the Greatest Common Factor of 97634 and 97650?

Greatest common factor (GCF) of 97634 and 97650 is 2.

GCF(97634,97650) = 2

We will now calculate the prime factors of 97634 and 97650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97634 and 97650.

How to find the GCF of 97634 and 97650?

We will first find the prime factorization of 97634 and 97650. After we will calculate the factors of 97634 and 97650 and find the biggest common factor number .

Step-1: Prime Factorization of 97634

Prime factors of 97634 are 2, 48817. Prime factorization of 97634 in exponential form is:

97634 = 2¹ × 48817¹

Step-2: 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-3: Factors of 97634

List of positive integer factors of 97634 that divides 97634 without a remainder.

1, 2, 48817

Step-4: Factors of 97650

List of positive integer factors of 97650 that divides 97634 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97634 and 97650. The biggest common factor number is the GCF number.
So the greatest common factor 97634 and 97650 is 2.

Also check out the Least Common Multiple of 97634 and 97650