What is the Greatest Common Factor of 73692 and 73708?

Greatest common factor (GCF) of 73692 and 73708 is 4.

GCF(73692,73708) = 4

We will now calculate the prime factors of 73692 and 73708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73692 and 73708.

How to find the GCF of 73692 and 73708?

We will first find the prime factorization of 73692 and 73708. After we will calculate the factors of 73692 and 73708 and find the biggest common factor number .

Step-1: Prime Factorization of 73692

Prime factors of 73692 are 2, 3, 23, 89. Prime factorization of 73692 in exponential form is:

73692 = 2² × 3² × 23¹ × 89¹

Step-2: Prime Factorization of 73708

Prime factors of 73708 are 2, 18427. Prime factorization of 73708 in exponential form is:

73708 = 2² × 18427¹

Step-3: Factors of 73692

List of positive integer factors of 73692 that divides 73692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 89, 92, 138, 178, 207, 267, 276, 356, 414, 534, 801, 828, 1068, 1602, 2047, 3204, 4094, 6141, 8188, 12282, 18423, 24564, 36846

Step-4: Factors of 73708

List of positive integer factors of 73708 that divides 73692 without a remainder.

1, 2, 4, 18427, 36854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73692 and 73708. The biggest common factor number is the GCF number.
So the greatest common factor 73692 and 73708 is 4.

Also check out the Least Common Multiple of 73692 and 73708