What is the Greatest Common Factor of 97700 and 97712?

Greatest common factor (GCF) of 97700 and 97712 is 4.

GCF(97700,97712) = 4

We will now calculate the prime factors of 97700 and 97712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97700 and 97712.

How to find the GCF of 97700 and 97712?

We will first find the prime factorization of 97700 and 97712. After we will calculate the factors of 97700 and 97712 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 97712

Prime factors of 97712 are 2, 31, 197. Prime factorization of 97712 in exponential form is:

97712 = 2⁴ × 31¹ × 197¹

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 97712

List of positive integer factors of 97712 that divides 97700 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107, 12214, 24428, 48856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97700 and 97712. The biggest common factor number is the GCF number.
So the greatest common factor 97700 and 97712 is 4.

Also check out the Least Common Multiple of 97700 and 97712