What is the Greatest Common Factor of 45942 and 45961?

Greatest common factor (GCF) of 45942 and 45961 is 19.

GCF(45942,45961) = 19

We will now calculate the prime factors of 45942 and 45961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45942 and 45961.

How to find the GCF of 45942 and 45961?

We will first find the prime factorization of 45942 and 45961. After we will calculate the factors of 45942 and 45961 and find the biggest common factor number .

Step-1: Prime Factorization of 45942

Prime factors of 45942 are 2, 3, 13, 19, 31. Prime factorization of 45942 in exponential form is:

45942 = 2¹ × 3¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 45961

Prime factors of 45961 are 19, 41, 59. Prime factorization of 45961 in exponential form is:

45961 = 19¹ × 41¹ × 59¹

Step-3: Factors of 45942

List of positive integer factors of 45942 that divides 45942 without a remainder.

1, 2, 3, 6, 13, 19, 26, 31, 38, 39, 57, 62, 78, 93, 114, 186, 247, 403, 494, 589, 741, 806, 1178, 1209, 1482, 1767, 2418, 3534, 7657, 15314, 22971

Step-4: Factors of 45961

List of positive integer factors of 45961 that divides 45942 without a remainder.

1, 19, 41, 59, 779, 1121, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45942 and 45961. The biggest common factor number is the GCF number.
So the greatest common factor 45942 and 45961 is 19.

Also check out the Least Common Multiple of 45942 and 45961