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What is the Greatest Common Factor of 46981 and 46992?

Greatest common factor (GCF) of 46981 and 46992 is 11.

GCF(46981,46992) = 11

We will now calculate the prime factors of 46981 and 46992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46981 and 46992.

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How to find the GCF of 46981 and 46992?

We will first find the prime factorization of 46981 and 46992. After we will calculate the factors of 46981 and 46992 and find the biggest common factor number .

Step-1: Prime Factorization of 46981

Prime factors of 46981 are 11, 4271. Prime factorization of 46981 in exponential form is:

46981 = 111 × 42711

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 46981

List of positive integer factors of 46981 that divides 46981 without a remainder.

1, 11, 4271

Step-4: Factors of 46992

List of positive integer factors of 46992 that divides 46981 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 46981 and 46992. The biggest common factor number is the GCF number.
So the greatest common factor 46981 and 46992 is 11.

Also check out the Least Common Multiple of 46981 and 46992