What is the Greatest Common Factor of 73972 and 73984?

Greatest common factor (GCF) of 73972 and 73984 is 4.

GCF(73972,73984) = 4

We will now calculate the prime factors of 73972 and 73984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73972 and 73984.

How to find the GCF of 73972 and 73984?

We will first find the prime factorization of 73972 and 73984. After we will calculate the factors of 73972 and 73984 and find the biggest common factor number .

Step-1: Prime Factorization of 73972

Prime factors of 73972 are 2, 18493. Prime factorization of 73972 in exponential form is:

73972 = 2² × 18493¹

Step-2: Prime Factorization of 73984

Prime factors of 73984 are 2, 17. Prime factorization of 73984 in exponential form is:

73984 = 2⁸ × 17²

Step-3: Factors of 73972

List of positive integer factors of 73972 that divides 73972 without a remainder.

1, 2, 4, 18493, 36986

Step-4: Factors of 73984

List of positive integer factors of 73984 that divides 73972 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 289, 544, 578, 1088, 1156, 2176, 2312, 4352, 4624, 9248, 18496, 36992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73972 and 73984. The biggest common factor number is the GCF number.
So the greatest common factor 73972 and 73984 is 4.

Also check out the Least Common Multiple of 73972 and 73984