What is the Greatest Common Factor of 87352 and 87362?

Greatest common factor (GCF) of 87352 and 87362 is 2.

GCF(87352,87362) = 2

We will now calculate the prime factors of 87352 and 87362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87352 and 87362.

How to find the GCF of 87352 and 87362?

We will first find the prime factorization of 87352 and 87362. After we will calculate the factors of 87352 and 87362 and find the biggest common factor number .

Step-1: Prime Factorization of 87352

Prime factors of 87352 are 2, 61, 179. Prime factorization of 87352 in exponential form is:

87352 = 2³ × 61¹ × 179¹

Step-2: Prime Factorization of 87362

Prime factors of 87362 are 2, 11, 19. Prime factorization of 87362 in exponential form is:

87362 = 2¹ × 11² × 19²

Step-3: Factors of 87352

List of positive integer factors of 87352 that divides 87352 without a remainder.

1, 2, 4, 8, 61, 122, 179, 244, 358, 488, 716, 1432, 10919, 21838, 43676

Step-4: Factors of 87362

List of positive integer factors of 87362 that divides 87352 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 361, 418, 722, 2299, 3971, 4598, 7942, 43681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87352 and 87362. The biggest common factor number is the GCF number.
So the greatest common factor 87352 and 87362 is 2.

Also check out the Least Common Multiple of 87352 and 87362