What is the Greatest Common Factor of 87424 and 87438?

Greatest common factor (GCF) of 87424 and 87438 is 2.

GCF(87424,87438) = 2

We will now calculate the prime factors of 87424 and 87438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87424 and 87438.

How to find the GCF of 87424 and 87438?

We will first find the prime factorization of 87424 and 87438. After we will calculate the factors of 87424 and 87438 and find the biggest common factor number .

Step-1: Prime Factorization of 87424

Prime factors of 87424 are 2, 683. Prime factorization of 87424 in exponential form is:

87424 = 2⁷ × 683¹

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 87424

List of positive integer factors of 87424 that divides 87424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 683, 1366, 2732, 5464, 10928, 21856, 43712

Step-4: Factors of 87438

List of positive integer factors of 87438 that divides 87424 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 87424 and 87438. The biggest common factor number is the GCF number.
So the greatest common factor 87424 and 87438 is 2.

Also check out the Least Common Multiple of 87424 and 87438