What is the Greatest Common Factor of 73370 and 73380?

Greatest common factor (GCF) of 73370 and 73380 is 10.

GCF(73370,73380) = 10

We will now calculate the prime factors of 73370 and 73380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73370 and 73380.

How to find the GCF of 73370 and 73380?

We will first find the prime factorization of 73370 and 73380. After we will calculate the factors of 73370 and 73380 and find the biggest common factor number .

Step-1: Prime Factorization of 73370

Prime factors of 73370 are 2, 5, 11, 23, 29. Prime factorization of 73370 in exponential form is:

73370 = 2¹ × 5¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 73380

Prime factors of 73380 are 2, 3, 5, 1223. Prime factorization of 73380 in exponential form is:

73380 = 2² × 3¹ × 5¹ × 1223¹

Step-3: Factors of 73370

List of positive integer factors of 73370 that divides 73370 without a remainder.

1, 2, 5, 10, 11, 22, 23, 29, 46, 55, 58, 110, 115, 145, 230, 253, 290, 319, 506, 638, 667, 1265, 1334, 1595, 2530, 3190, 3335, 6670, 7337, 14674, 36685

Step-4: Factors of 73380

List of positive integer factors of 73380 that divides 73370 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1223, 2446, 3669, 4892, 6115, 7338, 12230, 14676, 18345, 24460, 36690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73370 and 73380. The biggest common factor number is the GCF number.
So the greatest common factor 73370 and 73380 is 10.

Also check out the Least Common Multiple of 73370 and 73380