What is the Greatest Common Factor of 97408 and 97412?

Greatest common factor (GCF) of 97408 and 97412 is 4.

GCF(97408,97412) = 4

We will now calculate the prime factors of 97408 and 97412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97408 and 97412.

How to find the GCF of 97408 and 97412?

We will first find the prime factorization of 97408 and 97412. After we will calculate the factors of 97408 and 97412 and find the biggest common factor number .

Step-1: Prime Factorization of 97408

Prime factors of 97408 are 2, 761. Prime factorization of 97408 in exponential form is:

97408 = 2⁷ × 761¹

Step-2: Prime Factorization of 97412

Prime factors of 97412 are 2, 7, 71. Prime factorization of 97412 in exponential form is:

97412 = 2² × 7³ × 71¹

Step-3: Factors of 97408

List of positive integer factors of 97408 that divides 97408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 761, 1522, 3044, 6088, 12176, 24352, 48704

Step-4: Factors of 97412

List of positive integer factors of 97412 that divides 97408 without a remainder.

1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 343, 497, 686, 994, 1372, 1988, 3479, 6958, 13916, 24353, 48706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97408 and 97412. The biggest common factor number is the GCF number.
So the greatest common factor 97408 and 97412 is 4.

Also check out the Least Common Multiple of 97408 and 97412