What is the Greatest Common Factor of 74100 and 74110?

Greatest common factor (GCF) of 74100 and 74110 is 10.

GCF(74100,74110) = 10

We will now calculate the prime factors of 74100 and 74110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74100 and 74110.

How to find the GCF of 74100 and 74110?

We will first find the prime factorization of 74100 and 74110. After we will calculate the factors of 74100 and 74110 and find the biggest common factor number .

Step-1: Prime Factorization of 74100

Prime factors of 74100 are 2, 3, 5, 13, 19. Prime factorization of 74100 in exponential form is:

74100 = 2² × 3¹ × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 74110

Prime factors of 74110 are 2, 5, 7411. Prime factorization of 74110 in exponential form is:

74110 = 2¹ × 5¹ × 7411¹

Step-3: Factors of 74100

List of positive integer factors of 74100 that divides 74100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 25, 26, 30, 38, 39, 50, 52, 57, 60, 65, 75, 76, 78, 95, 100, 114, 130, 150, 156, 190, 195, 228, 247, 260, 285, 300, 325, 380, 390, 475, 494, 570, 650, 741, 780, 950, 975, 988, 1140, 1235, 1300, 1425, 1482, 1900, 1950, 2470, 2850, 2964, 3705, 3900, 4940, 5700, 6175, 7410, 12350, 14820, 18525, 24700, 37050

Step-4: Factors of 74110

List of positive integer factors of 74110 that divides 74100 without a remainder.

1, 2, 5, 10, 7411, 14822, 37055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74100 and 74110. The biggest common factor number is the GCF number.
So the greatest common factor 74100 and 74110 is 10.

Also check out the Least Common Multiple of 74100 and 74110