What is the Greatest Common Factor of 46972 and 46992?

Greatest common factor (GCF) of 46972 and 46992 is 4.

GCF(46972,46992) = 4

We will now calculate the prime factors of 46972 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46972 and 46992.

How to find the GCF of 46972 and 46992?

We will first find the prime factorization of 46972 and 46992. After we will calculate the factors of 46972 and 46992 and find the biggest common factor number .

Step-1: Prime Factorization of 46972

Prime factors of 46972 are 2, 11743. Prime factorization of 46972 in exponential form is:

46972 = 2² × 11743¹

Step-2: Prime Factorization of 46992

Prime factors of 46992 are 2, 3, 11, 89. Prime factorization of 46992 in exponential form is:

46992 = 2⁴ × 3¹ × 11¹ × 89¹

Step-3: Factors of 46972

List of positive integer factors of 46972 that divides 46972 without a remainder.

1, 2, 4, 11743, 23486

Step-4: Factors of 46992

List of positive integer factors of 46992 that divides 46972 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 89, 132, 176, 178, 264, 267, 356, 528, 534, 712, 979, 1068, 1424, 1958, 2136, 2937, 3916, 4272, 5874, 7832, 11748, 15664, 23496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46972 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46972 and 46992 is 4.

Also check out the Least Common Multiple of 46972 and 46992