What is the Greatest Common Factor of 86984 and 86996?

Greatest common factor (GCF) of 86984 and 86996 is 4.

GCF(86984,86996) = 4

We will now calculate the prime factors of 86984 and 86996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86984 and 86996.

How to find the GCF of 86984 and 86996?

We will first find the prime factorization of 86984 and 86996. After we will calculate the factors of 86984 and 86996 and find the biggest common factor number .

Step-1: Prime Factorization of 86984

Prime factors of 86984 are 2, 83, 131. Prime factorization of 86984 in exponential form is:

86984 = 2³ × 83¹ × 131¹

Step-2: Prime Factorization of 86996

Prime factors of 86996 are 2, 7, 13, 239. Prime factorization of 86996 in exponential form is:

86996 = 2² × 7¹ × 13¹ × 239¹

Step-3: Factors of 86984

List of positive integer factors of 86984 that divides 86984 without a remainder.

1, 2, 4, 8, 83, 131, 166, 262, 332, 524, 664, 1048, 10873, 21746, 43492

Step-4: Factors of 86996

List of positive integer factors of 86996 that divides 86984 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 239, 364, 478, 956, 1673, 3107, 3346, 6214, 6692, 12428, 21749, 43498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86984 and 86996. The biggest common factor number is the GCF number.
So the greatest common factor 86984 and 86996 is 4.

Also check out the Least Common Multiple of 86984 and 86996