What is the Greatest Common Factor of 87425 and 87438?

Greatest common factor (GCF) of 87425 and 87438 is 13.

GCF(87425,87438) = 13

We will now calculate the prime factors of 87425 and 87438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87425 and 87438.

How to find the GCF of 87425 and 87438?

We will first find the prime factorization of 87425 and 87438. After we will calculate the factors of 87425 and 87438 and find the biggest common factor number .

Step-1: Prime Factorization of 87425

Prime factors of 87425 are 5, 13, 269. Prime factorization of 87425 in exponential form is:

87425 = 5² × 13¹ × 269¹

Step-2: Prime Factorization of 87438

Prime factors of 87438 are 2, 3, 13, 19, 59. Prime factorization of 87438 in exponential form is:

87438 = 2¹ × 3¹ × 13¹ × 19¹ × 59¹

Step-3: Factors of 87425

List of positive integer factors of 87425 that divides 87425 without a remainder.

1, 5, 13, 25, 65, 269, 325, 1345, 3497, 6725, 17485

Step-4: Factors of 87438

List of positive integer factors of 87438 that divides 87425 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 59, 78, 114, 118, 177, 247, 354, 494, 741, 767, 1121, 1482, 1534, 2242, 2301, 3363, 4602, 6726, 14573, 29146, 43719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87425 and 87438. The biggest common factor number is the GCF number.
So the greatest common factor 87425 and 87438 is 13.

Also check out the Least Common Multiple of 87425 and 87438