What is the Greatest Common Factor of 73776 and 73794?

Greatest common factor (GCF) of 73776 and 73794 is 6.

GCF(73776,73794) = 6

We will now calculate the prime factors of 73776 and 73794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73776 and 73794.

How to find the GCF of 73776 and 73794?

We will first find the prime factorization of 73776 and 73794. After we will calculate the factors of 73776 and 73794 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73794

Prime factors of 73794 are 2, 3, 7, 251. Prime factorization of 73794 in exponential form is:

73794 = 2¹ × 3¹ × 7² × 251¹

Step-3: Factors of 73776

List of positive integer factors of 73776 that divides 73776 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

Step-4: Factors of 73794

List of positive integer factors of 73794 that divides 73776 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 251, 294, 502, 753, 1506, 1757, 3514, 5271, 10542, 12299, 24598, 36897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73776 and 73794. The biggest common factor number is the GCF number.
So the greatest common factor 73776 and 73794 is 6.

Also check out the Least Common Multiple of 73776 and 73794