What is the Greatest Common Factor of 84976 and 84996?

Greatest common factor (GCF) of 84976 and 84996 is 4.

GCF(84976,84996) = 4

We will now calculate the prime factors of 84976 and 84996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84976 and 84996.

How to find the GCF of 84976 and 84996?

We will first find the prime factorization of 84976 and 84996. After we will calculate the factors of 84976 and 84996 and find the biggest common factor number .

Step-1: Prime Factorization of 84976

Prime factors of 84976 are 2, 47, 113. Prime factorization of 84976 in exponential form is:

84976 = 2⁴ × 47¹ × 113¹

Step-2: Prime Factorization of 84996

Prime factors of 84996 are 2, 3, 787. Prime factorization of 84996 in exponential form is:

84996 = 2² × 3³ × 787¹

Step-3: Factors of 84976

List of positive integer factors of 84976 that divides 84976 without a remainder.

1, 2, 4, 8, 16, 47, 94, 113, 188, 226, 376, 452, 752, 904, 1808, 5311, 10622, 21244, 42488

Step-4: Factors of 84996

List of positive integer factors of 84996 that divides 84976 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 787, 1574, 2361, 3148, 4722, 7083, 9444, 14166, 21249, 28332, 42498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84976 and 84996. The biggest common factor number is the GCF number.
So the greatest common factor 84976 and 84996 is 4.

Also check out the Least Common Multiple of 84976 and 84996