What is the Greatest Common Factor of 42348 and 42364?

Greatest common factor (GCF) of 42348 and 42364 is 4.

GCF(42348,42364) = 4

We will now calculate the prime factors of 42348 and 42364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42348 and 42364.

How to find the GCF of 42348 and 42364?

We will first find the prime factorization of 42348 and 42364. After we will calculate the factors of 42348 and 42364 and find the biggest common factor number .

Step-1: Prime Factorization of 42348

Prime factors of 42348 are 2, 3, 3529. Prime factorization of 42348 in exponential form is:

42348 = 2² × 3¹ × 3529¹

Step-2: Prime Factorization of 42364

Prime factors of 42364 are 2, 7, 17, 89. Prime factorization of 42364 in exponential form is:

42364 = 2² × 7¹ × 17¹ × 89¹

Step-3: Factors of 42348

List of positive integer factors of 42348 that divides 42348 without a remainder.

1, 2, 3, 4, 6, 12, 3529, 7058, 10587, 14116, 21174

Step-4: Factors of 42364

List of positive integer factors of 42364 that divides 42348 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 89, 119, 178, 238, 356, 476, 623, 1246, 1513, 2492, 3026, 6052, 10591, 21182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42348 and 42364. The biggest common factor number is the GCF number.
So the greatest common factor 42348 and 42364 is 4.

Also check out the Least Common Multiple of 42348 and 42364