What is the Greatest Common Factor of 42952 and 42963?

Greatest common factor (GCF) of 42952 and 42963 is 1.

GCF(42952,42963) = 1

We will now calculate the prime factors of 42952 and 42963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42952 and 42963.

How to find the GCF of 42952 and 42963?

We will first find the prime factorization of 42952 and 42963. After we will calculate the factors of 42952 and 42963 and find the biggest common factor number .

Step-1: Prime Factorization of 42952

Prime factors of 42952 are 2, 7, 13, 59. Prime factorization of 42952 in exponential form is:

42952 = 2³ × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 42963

Prime factors of 42963 are 3, 14321. Prime factorization of 42963 in exponential form is:

42963 = 3¹ × 14321¹

Step-3: Factors of 42952

List of positive integer factors of 42952 that divides 42952 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 59, 91, 104, 118, 182, 236, 364, 413, 472, 728, 767, 826, 1534, 1652, 3068, 3304, 5369, 6136, 10738, 21476

Step-4: Factors of 42963

List of positive integer factors of 42963 that divides 42952 without a remainder.

1, 3, 14321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42952 and 42963. The biggest common factor number is the GCF number.
So the greatest common factor 42952 and 42963 is 1.

Also check out the Least Common Multiple of 42952 and 42963