What is the Greatest Common Factor of 87438 and 87451?

Greatest common factor (GCF) of 87438 and 87451 is 13.

GCF(87438,87451) = 13

We will now calculate the prime factors of 87438 and 87451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87438 and 87451.

How to find the GCF of 87438 and 87451?

We will first find the prime factorization of 87438 and 87451. After we will calculate the factors of 87438 and 87451 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87451

Prime factors of 87451 are 7, 13, 31. Prime factorization of 87451 in exponential form is:

87451 = 7¹ × 13¹ × 31²

Step-3: Factors of 87438

List of positive integer factors of 87438 that divides 87438 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

Step-4: Factors of 87451

List of positive integer factors of 87451 that divides 87438 without a remainder.

1, 7, 13, 31, 91, 217, 403, 961, 2821, 6727, 12493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87438 and 87451. The biggest common factor number is the GCF number.
So the greatest common factor 87438 and 87451 is 13.

Also check out the Least Common Multiple of 87438 and 87451