What is the Greatest Common Factor of 85672 and 85684?

Greatest common factor (GCF) of 85672 and 85684 is 4.

GCF(85672,85684) = 4

We will now calculate the prime factors of 85672 and 85684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85672 and 85684.

How to find the GCF of 85672 and 85684?

We will first find the prime factorization of 85672 and 85684. After we will calculate the factors of 85672 and 85684 and find the biggest common factor number .

Step-1: Prime Factorization of 85672

Prime factors of 85672 are 2, 10709. Prime factorization of 85672 in exponential form is:

85672 = 2³ × 10709¹

Step-2: Prime Factorization of 85684

Prime factors of 85684 are 2, 31, 691. Prime factorization of 85684 in exponential form is:

85684 = 2² × 31¹ × 691¹

Step-3: Factors of 85672

List of positive integer factors of 85672 that divides 85672 without a remainder.

1, 2, 4, 8, 10709, 21418, 42836

Step-4: Factors of 85684

List of positive integer factors of 85684 that divides 85672 without a remainder.

1, 2, 4, 31, 62, 124, 691, 1382, 2764, 21421, 42842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85672 and 85684. The biggest common factor number is the GCF number.
So the greatest common factor 85672 and 85684 is 4.

Also check out the Least Common Multiple of 85672 and 85684