What is the Greatest Common Factor of 84976 and 84990?

Greatest common factor (GCF) of 84976 and 84990 is 2.

GCF(84976,84990) = 2

We will now calculate the prime factors of 84976 and 84990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84976 and 84990.

How to find the GCF of 84976 and 84990?

We will first find the prime factorization of 84976 and 84990. After we will calculate the factors of 84976 and 84990 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 84990

Prime factors of 84990 are 2, 3, 5, 2833. Prime factorization of 84990 in exponential form is:

84990 = 2¹ × 3¹ × 5¹ × 2833¹

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 84990

List of positive integer factors of 84990 that divides 84976 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2833, 5666, 8499, 14165, 16998, 28330, 42495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84976 and 84990. The biggest common factor number is the GCF number.
So the greatest common factor 84976 and 84990 is 2.

Also check out the Least Common Multiple of 84976 and 84990