What is the Greatest Common Factor of 73772 and 73776?

Greatest common factor (GCF) of 73772 and 73776 is 4.

GCF(73772,73776) = 4

We will now calculate the prime factors of 73772 and 73776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73772 and 73776.

How to find the GCF of 73772 and 73776?

We will first find the prime factorization of 73772 and 73776. After we will calculate the factors of 73772 and 73776 and find the biggest common factor number .

Step-1: Prime Factorization of 73772

Prime factors of 73772 are 2, 18443. Prime factorization of 73772 in exponential form is:

73772 = 2² × 18443¹

Step-2: Prime Factorization of 73776

Prime factors of 73776 are 2, 3, 29, 53. Prime factorization of 73776 in exponential form is:

73776 = 2⁴ × 3¹ × 29¹ × 53¹

Step-3: Factors of 73772

List of positive integer factors of 73772 that divides 73772 without a remainder.

1, 2, 4, 18443, 36886

Step-4: Factors of 73776

List of positive integer factors of 73776 that divides 73772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 53, 58, 87, 106, 116, 159, 174, 212, 232, 318, 348, 424, 464, 636, 696, 848, 1272, 1392, 1537, 2544, 3074, 4611, 6148, 9222, 12296, 18444, 24592, 36888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73772 and 73776. The biggest common factor number is the GCF number.
So the greatest common factor 73772 and 73776 is 4.

Also check out the Least Common Multiple of 73772 and 73776