What is the Greatest Common Factor of 73944 and 73951?

Greatest common factor (GCF) of 73944 and 73951 is 1.

GCF(73944,73951) = 1

We will now calculate the prime factors of 73944 and 73951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73944 and 73951.

How to find the GCF of 73944 and 73951?

We will first find the prime factorization of 73944 and 73951. After we will calculate the factors of 73944 and 73951 and find the biggest common factor number .

Step-1: Prime Factorization of 73944

Prime factors of 73944 are 2, 3, 13, 79. Prime factorization of 73944 in exponential form is:

73944 = 2³ × 3² × 13¹ × 79¹

Step-2: Prime Factorization of 73951

Prime factors of 73951 are 73951. Prime factorization of 73951 in exponential form is:

73951 = 73951¹

Step-3: Factors of 73944

List of positive integer factors of 73944 that divides 73944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 79, 104, 117, 156, 158, 234, 237, 312, 316, 468, 474, 632, 711, 936, 948, 1027, 1422, 1896, 2054, 2844, 3081, 4108, 5688, 6162, 8216, 9243, 12324, 18486, 24648, 36972

Step-4: Factors of 73951

List of positive integer factors of 73951 that divides 73944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73944 and 73951. The biggest common factor number is the GCF number.
So the greatest common factor 73944 and 73951 is 1.

Also check out the Least Common Multiple of 73944 and 73951