What is the Greatest Common Factor of 45974 and 45990?

Greatest common factor (GCF) of 45974 and 45990 is 2.

GCF(45974,45990) = 2

We will now calculate the prime factors of 45974 and 45990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45974 and 45990.

How to find the GCF of 45974 and 45990?

We will first find the prime factorization of 45974 and 45990. After we will calculate the factors of 45974 and 45990 and find the biggest common factor number .

Step-1: Prime Factorization of 45974

Prime factors of 45974 are 2, 127, 181. Prime factorization of 45974 in exponential form is:

45974 = 2¹ × 127¹ × 181¹

Step-2: Prime Factorization of 45990

Prime factors of 45990 are 2, 3, 5, 7, 73. Prime factorization of 45990 in exponential form is:

45990 = 2¹ × 3² × 5¹ × 7¹ × 73¹

Step-3: Factors of 45974

List of positive integer factors of 45974 that divides 45974 without a remainder.

1, 2, 127, 181, 254, 362, 22987

Step-4: Factors of 45990

List of positive integer factors of 45990 that divides 45974 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 73, 90, 105, 126, 146, 210, 219, 315, 365, 438, 511, 630, 657, 730, 1022, 1095, 1314, 1533, 2190, 2555, 3066, 3285, 4599, 5110, 6570, 7665, 9198, 15330, 22995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45974 and 45990. The biggest common factor number is the GCF number.
So the greatest common factor 45974 and 45990 is 2.

Also check out the Least Common Multiple of 45974 and 45990