What is the Greatest Common Factor of 49370 and 49380?

Greatest common factor (GCF) of 49370 and 49380 is 10.

GCF(49370,49380) = 10

We will now calculate the prime factors of 49370 and 49380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49370 and 49380.

How to find the GCF of 49370 and 49380?

We will first find the prime factorization of 49370 and 49380. After we will calculate the factors of 49370 and 49380 and find the biggest common factor number .

Step-1: Prime Factorization of 49370

Prime factors of 49370 are 2, 5, 4937. Prime factorization of 49370 in exponential form is:

49370 = 2¹ × 5¹ × 4937¹

Step-2: Prime Factorization of 49380

Prime factors of 49380 are 2, 3, 5, 823. Prime factorization of 49380 in exponential form is:

49380 = 2² × 3¹ × 5¹ × 823¹

Step-3: Factors of 49370

List of positive integer factors of 49370 that divides 49370 without a remainder.

1, 2, 5, 10, 4937, 9874, 24685

Step-4: Factors of 49380

List of positive integer factors of 49380 that divides 49370 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49370 and 49380. The biggest common factor number is the GCF number.
So the greatest common factor 49370 and 49380 is 10.

Also check out the Least Common Multiple of 49370 and 49380