What is the Greatest Common Factor of 74760 and 74776?

Greatest common factor (GCF) of 74760 and 74776 is 8.

GCF(74760,74776) = 8

We will now calculate the prime factors of 74760 and 74776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74760 and 74776.

How to find the GCF of 74760 and 74776?

We will first find the prime factorization of 74760 and 74776. After we will calculate the factors of 74760 and 74776 and find the biggest common factor number .

Step-1: Prime Factorization of 74760

Prime factors of 74760 are 2, 3, 5, 7, 89. Prime factorization of 74760 in exponential form is:

74760 = 2³ × 3¹ × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 74776

Prime factors of 74776 are 2, 13, 719. Prime factorization of 74776 in exponential form is:

74776 = 2³ × 13¹ × 719¹

Step-3: Factors of 74760

List of positive integer factors of 74760 that divides 74760 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 89, 105, 120, 140, 168, 178, 210, 267, 280, 356, 420, 445, 534, 623, 712, 840, 890, 1068, 1246, 1335, 1780, 1869, 2136, 2492, 2670, 3115, 3560, 3738, 4984, 5340, 6230, 7476, 9345, 10680, 12460, 14952, 18690, 24920, 37380

Step-4: Factors of 74776

List of positive integer factors of 74776 that divides 74760 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 719, 1438, 2876, 5752, 9347, 18694, 37388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74760 and 74776. The biggest common factor number is the GCF number.
So the greatest common factor 74760 and 74776 is 8.

Also check out the Least Common Multiple of 74760 and 74776