What is the Greatest Common Factor of 97656 and 97674?

Greatest common factor (GCF) of 97656 and 97674 is 6.

GCF(97656,97674) = 6

We will now calculate the prime factors of 97656 and 97674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97656 and 97674.

How to find the GCF of 97656 and 97674?

We will first find the prime factorization of 97656 and 97674. After we will calculate the factors of 97656 and 97674 and find the biggest common factor number .

Step-1: Prime Factorization of 97656

Prime factors of 97656 are 2, 3, 13, 313. Prime factorization of 97656 in exponential form is:

97656 = 2³ × 3¹ × 13¹ × 313¹

Step-2: Prime Factorization of 97674

Prime factors of 97674 are 2, 3, 73, 223. Prime factorization of 97674 in exponential form is:

97674 = 2¹ × 3¹ × 73¹ × 223¹

Step-3: Factors of 97656

List of positive integer factors of 97656 that divides 97656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312, 313, 626, 939, 1252, 1878, 2504, 3756, 4069, 7512, 8138, 12207, 16276, 24414, 32552, 48828

Step-4: Factors of 97674

List of positive integer factors of 97674 that divides 97656 without a remainder.

1, 2, 3, 6, 73, 146, 219, 223, 438, 446, 669, 1338, 16279, 32558, 48837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97656 and 97674. The biggest common factor number is the GCF number.
So the greatest common factor 97656 and 97674 is 6.

Also check out the Least Common Multiple of 97656 and 97674