What is the Greatest Common Factor of 83524 and 83544?

Greatest common factor (GCF) of 83524 and 83544 is 4.

GCF(83524,83544) = 4

We will now calculate the prime factors of 83524 and 83544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83524 and 83544.

How to find the GCF of 83524 and 83544?

We will first find the prime factorization of 83524 and 83544. After we will calculate the factors of 83524 and 83544 and find the biggest common factor number .

Step-1: Prime Factorization of 83524

Prime factors of 83524 are 2, 7, 19, 157. Prime factorization of 83524 in exponential form is:

83524 = 2² × 7¹ × 19¹ × 157¹

Step-2: Prime Factorization of 83544

Prime factors of 83544 are 2, 3, 59. Prime factorization of 83544 in exponential form is:

83544 = 2³ × 3¹ × 59²

Step-3: Factors of 83524

List of positive integer factors of 83524 that divides 83524 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 157, 266, 314, 532, 628, 1099, 2198, 2983, 4396, 5966, 11932, 20881, 41762

Step-4: Factors of 83544

List of positive integer factors of 83544 that divides 83524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416, 3481, 6962, 10443, 13924, 20886, 27848, 41772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83524 and 83544. The biggest common factor number is the GCF number.
So the greatest common factor 83524 and 83544 is 4.

Also check out the Least Common Multiple of 83524 and 83544