What is the Greatest Common Factor of 97700 and 97710?

Greatest common factor (GCF) of 97700 and 97710 is 10.

GCF(97700,97710) = 10

We will now calculate the prime factors of 97700 and 97710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97700 and 97710.

How to find the GCF of 97700 and 97710?

We will first find the prime factorization of 97700 and 97710. After we will calculate the factors of 97700 and 97710 and find the biggest common factor number .

Step-1: Prime Factorization of 97700

Prime factors of 97700 are 2, 5, 977. Prime factorization of 97700 in exponential form is:

97700 = 2² × 5² × 977¹

Step-2: Prime Factorization of 97710

Prime factors of 97710 are 2, 3, 5, 3257. Prime factorization of 97710 in exponential form is:

97710 = 2¹ × 3¹ × 5¹ × 3257¹

Step-3: Factors of 97700

List of positive integer factors of 97700 that divides 97700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 977, 1954, 3908, 4885, 9770, 19540, 24425, 48850

Step-4: Factors of 97710

List of positive integer factors of 97710 that divides 97700 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3257, 6514, 9771, 16285, 19542, 32570, 48855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97700 and 97710. The biggest common factor number is the GCF number.
So the greatest common factor 97700 and 97710 is 10.

Also check out the Least Common Multiple of 97700 and 97710