What is the Greatest Common Factor of 84248 and 84252?

Greatest common factor (GCF) of 84248 and 84252 is 4.

GCF(84248,84252) = 4

We will now calculate the prime factors of 84248 and 84252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84248 and 84252.

How to find the GCF of 84248 and 84252?

We will first find the prime factorization of 84248 and 84252. After we will calculate the factors of 84248 and 84252 and find the biggest common factor number .

Step-1: Prime Factorization of 84248

Prime factors of 84248 are 2, 10531. Prime factorization of 84248 in exponential form is:

84248 = 2³ × 10531¹

Step-2: Prime Factorization of 84252

Prime factors of 84252 are 2, 3, 7, 17, 59. Prime factorization of 84252 in exponential form is:

84252 = 2² × 3¹ × 7¹ × 17¹ × 59¹

Step-3: Factors of 84248

List of positive integer factors of 84248 that divides 84248 without a remainder.

1, 2, 4, 8, 10531, 21062, 42124

Step-4: Factors of 84252

List of positive integer factors of 84252 that divides 84248 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 59, 68, 84, 102, 118, 119, 177, 204, 236, 238, 354, 357, 413, 476, 708, 714, 826, 1003, 1239, 1428, 1652, 2006, 2478, 3009, 4012, 4956, 6018, 7021, 12036, 14042, 21063, 28084, 42126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84248 and 84252. The biggest common factor number is the GCF number.
So the greatest common factor 84248 and 84252 is 4.

Also check out the Least Common Multiple of 84248 and 84252