What is the Greatest Common Factor of 87620 and 87630?

Greatest common factor (GCF) of 87620 and 87630 is 10.

GCF(87620,87630) = 10

We will now calculate the prime factors of 87620 and 87630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87620 and 87630.

How to find the GCF of 87620 and 87630?

We will first find the prime factorization of 87620 and 87630. After we will calculate the factors of 87620 and 87630 and find the biggest common factor number .

Step-1: Prime Factorization of 87620

Prime factors of 87620 are 2, 5, 13, 337. Prime factorization of 87620 in exponential form is:

87620 = 2² × 5¹ × 13¹ × 337¹

Step-2: Prime Factorization of 87630

Prime factors of 87630 are 2, 3, 5, 23, 127. Prime factorization of 87630 in exponential form is:

87630 = 2¹ × 3¹ × 5¹ × 23¹ × 127¹

Step-3: Factors of 87620

List of positive integer factors of 87620 that divides 87620 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 337, 674, 1348, 1685, 3370, 4381, 6740, 8762, 17524, 21905, 43810

Step-4: Factors of 87630

List of positive integer factors of 87630 that divides 87620 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 127, 138, 230, 254, 345, 381, 635, 690, 762, 1270, 1905, 2921, 3810, 5842, 8763, 14605, 17526, 29210, 43815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87620 and 87630. The biggest common factor number is the GCF number.
So the greatest common factor 87620 and 87630 is 10.

Also check out the Least Common Multiple of 87620 and 87630