What is the Greatest Common Factor of 74700 and 74715?

Greatest common factor (GCF) of 74700 and 74715 is 15.

GCF(74700,74715) = 15

We will now calculate the prime factors of 74700 and 74715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74700 and 74715.

How to find the GCF of 74700 and 74715?

We will first find the prime factorization of 74700 and 74715. After we will calculate the factors of 74700 and 74715 and find the biggest common factor number .

Step-1: Prime Factorization of 74700

Prime factors of 74700 are 2, 3, 5, 83. Prime factorization of 74700 in exponential form is:

74700 = 2² × 3² × 5² × 83¹

Step-2: Prime Factorization of 74715

Prime factors of 74715 are 3, 5, 17, 293. Prime factorization of 74715 in exponential form is:

74715 = 3¹ × 5¹ × 17¹ × 293¹

Step-3: Factors of 74700

List of positive integer factors of 74700 that divides 74700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 83, 90, 100, 150, 166, 180, 225, 249, 300, 332, 415, 450, 498, 747, 830, 900, 996, 1245, 1494, 1660, 2075, 2490, 2988, 3735, 4150, 4980, 6225, 7470, 8300, 12450, 14940, 18675, 24900, 37350

Step-4: Factors of 74715

List of positive integer factors of 74715 that divides 74700 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 293, 879, 1465, 4395, 4981, 14943, 24905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74700 and 74715. The biggest common factor number is the GCF number.
So the greatest common factor 74700 and 74715 is 15.

Also check out the Least Common Multiple of 74700 and 74715