What is the Greatest Common Factor of 87438 and 87457?

Greatest common factor (GCF) of 87438 and 87457 is 19.

GCF(87438,87457) = 19

We will now calculate the prime factors of 87438 and 87457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87438 and 87457.

How to find the GCF of 87438 and 87457?

We will first find the prime factorization of 87438 and 87457. After we will calculate the factors of 87438 and 87457 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 87457

Prime factors of 87457 are 19, 4603. Prime factorization of 87457 in exponential form is:

87457 = 19¹ × 4603¹

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 87457

List of positive integer factors of 87457 that divides 87438 without a remainder.

1, 19, 4603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87438 and 87457. The biggest common factor number is the GCF number.
So the greatest common factor 87438 and 87457 is 19.

Also check out the Least Common Multiple of 87438 and 87457