What is the Greatest Common Factor of 85645 and 85652?

Greatest common factor (GCF) of 85645 and 85652 is 7.

GCF(85645,85652) = 7

We will now calculate the prime factors of 85645 and 85652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85645 and 85652.

How to find the GCF of 85645 and 85652?

We will first find the prime factorization of 85645 and 85652. After we will calculate the factors of 85645 and 85652 and find the biggest common factor number .

Step-1: Prime Factorization of 85645

Prime factors of 85645 are 5, 7, 2447. Prime factorization of 85645 in exponential form is:

85645 = 5¹ × 7¹ × 2447¹

Step-2: Prime Factorization of 85652

Prime factors of 85652 are 2, 7, 19, 23. Prime factorization of 85652 in exponential form is:

85652 = 2² × 7² × 19¹ × 23¹

Step-3: Factors of 85645

List of positive integer factors of 85645 that divides 85645 without a remainder.

1, 5, 7, 35, 2447, 12235, 17129

Step-4: Factors of 85652

List of positive integer factors of 85652 that divides 85645 without a remainder.

1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 49, 76, 92, 98, 133, 161, 196, 266, 322, 437, 532, 644, 874, 931, 1127, 1748, 1862, 2254, 3059, 3724, 4508, 6118, 12236, 21413, 42826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85645 and 85652. The biggest common factor number is the GCF number.
So the greatest common factor 85645 and 85652 is 7.

Also check out the Least Common Multiple of 85645 and 85652