What is the Greatest Common Factor of 97656 and 97666?

Greatest common factor (GCF) of 97656 and 97666 is 2.

GCF(97656,97666) = 2

We will now calculate the prime factors of 97656 and 97666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97656 and 97666.

How to find the GCF of 97656 and 97666?

We will first find the prime factorization of 97656 and 97666. After we will calculate the factors of 97656 and 97666 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 97666

Prime factors of 97666 are 2, 47, 1039. Prime factorization of 97666 in exponential form is:

97666 = 2¹ × 47¹ × 1039¹

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 97666

List of positive integer factors of 97666 that divides 97656 without a remainder.

1, 2, 47, 94, 1039, 2078, 48833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97656 and 97666. The biggest common factor number is the GCF number.
So the greatest common factor 97656 and 97666 is 2.

Also check out the Least Common Multiple of 97656 and 97666