What is the Greatest Common Factor of 84852 and 84860?

Greatest common factor (GCF) of 84852 and 84860 is 4.

GCF(84852,84860) = 4

We will now calculate the prime factors of 84852 and 84860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84852 and 84860.

How to find the GCF of 84852 and 84860?

We will first find the prime factorization of 84852 and 84860. After we will calculate the factors of 84852 and 84860 and find the biggest common factor number .

Step-1: Prime Factorization of 84852

Prime factors of 84852 are 2, 3, 2357. Prime factorization of 84852 in exponential form is:

84852 = 2² × 3² × 2357¹

Step-2: Prime Factorization of 84860

Prime factors of 84860 are 2, 5, 4243. Prime factorization of 84860 in exponential form is:

84860 = 2² × 5¹ × 4243¹

Step-3: Factors of 84852

List of positive integer factors of 84852 that divides 84852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2357, 4714, 7071, 9428, 14142, 21213, 28284, 42426

Step-4: Factors of 84860

List of positive integer factors of 84860 that divides 84852 without a remainder.

1, 2, 4, 5, 10, 20, 4243, 8486, 16972, 21215, 42430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84852 and 84860. The biggest common factor number is the GCF number.
So the greatest common factor 84852 and 84860 is 4.

Also check out the Least Common Multiple of 84852 and 84860