What is the Greatest Common Factor of 73776 and 73780?

Greatest common factor (GCF) of 73776 and 73780 is 4.

GCF(73776,73780) = 4

We will now calculate the prime factors of 73776 and 73780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73776 and 73780.

How to find the GCF of 73776 and 73780?

We will first find the prime factorization of 73776 and 73780. After we will calculate the factors of 73776 and 73780 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 73780

Prime factors of 73780 are 2, 5, 7, 17, 31. Prime factorization of 73780 in exponential form is:

73780 = 2² × 5¹ × 7¹ × 17¹ × 31¹

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 73780

List of positive integer factors of 73780 that divides 73776 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 31, 34, 35, 62, 68, 70, 85, 119, 124, 140, 155, 170, 217, 238, 310, 340, 434, 476, 527, 595, 620, 868, 1054, 1085, 1190, 2108, 2170, 2380, 2635, 3689, 4340, 5270, 7378, 10540, 14756, 18445, 36890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73776 and 73780. The biggest common factor number is the GCF number.
So the greatest common factor 73776 and 73780 is 4.

Also check out the Least Common Multiple of 73776 and 73780