What is the Greatest Common Factor of 46968 and 46974?

Greatest common factor (GCF) of 46968 and 46974 is 6.

GCF(46968,46974) = 6

We will now calculate the prime factors of 46968 and 46974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46968 and 46974.

How to find the GCF of 46968 and 46974?

We will first find the prime factorization of 46968 and 46974. After we will calculate the factors of 46968 and 46974 and find the biggest common factor number .

Step-1: Prime Factorization of 46968

Prime factors of 46968 are 2, 3, 19, 103. Prime factorization of 46968 in exponential form is:

46968 = 2³ × 3¹ × 19¹ × 103¹

Step-2: Prime Factorization of 46974

Prime factors of 46974 are 2, 3, 7829. Prime factorization of 46974 in exponential form is:

46974 = 2¹ × 3¹ × 7829¹

Step-3: Factors of 46968

List of positive integer factors of 46968 that divides 46968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 103, 114, 152, 206, 228, 309, 412, 456, 618, 824, 1236, 1957, 2472, 3914, 5871, 7828, 11742, 15656, 23484

Step-4: Factors of 46974

List of positive integer factors of 46974 that divides 46968 without a remainder.

1, 2, 3, 6, 7829, 15658, 23487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46968 and 46974. The biggest common factor number is the GCF number.
So the greatest common factor 46968 and 46974 is 6.

Also check out the Least Common Multiple of 46968 and 46974