What is the Greatest Common Factor of 73762 and 73776?

Greatest common factor (GCF) of 73762 and 73776 is 2.

GCF(73762,73776) = 2

We will now calculate the prime factors of 73762 and 73776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73762 and 73776.

How to find the GCF of 73762 and 73776?

We will first find the prime factorization of 73762 and 73776. After we will calculate the factors of 73762 and 73776 and find the biggest common factor number .

Step-1: Prime Factorization of 73762

Prime factors of 73762 are 2, 13, 2837. Prime factorization of 73762 in exponential form is:

73762 = 2¹ × 13¹ × 2837¹

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 73762

List of positive integer factors of 73762 that divides 73762 without a remainder.

1, 2, 13, 26, 2837, 5674, 36881

Step-4: Factors of 73776

List of positive integer factors of 73776 that divides 73762 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 73762 and 73776. The biggest common factor number is the GCF number.
So the greatest common factor 73762 and 73776 is 2.

Also check out the Least Common Multiple of 73762 and 73776