What is the Greatest Common Factor of 46974 and 46978?

Greatest common factor (GCF) of 46974 and 46978 is 2.

GCF(46974,46978) = 2

We will now calculate the prime factors of 46974 and 46978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46974 and 46978.

How to find the GCF of 46974 and 46978?

We will first find the prime factorization of 46974 and 46978. After we will calculate the factors of 46974 and 46978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46978

Prime factors of 46978 are 2, 83, 283. Prime factorization of 46978 in exponential form is:

46978 = 2¹ × 83¹ × 283¹

Step-3: Factors of 46974

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

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

Step-4: Factors of 46978

List of positive integer factors of 46978 that divides 46974 without a remainder.

1, 2, 83, 166, 283, 566, 23489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46974 and 46978. The biggest common factor number is the GCF number.
So the greatest common factor 46974 and 46978 is 2.

Also check out the Least Common Multiple of 46974 and 46978