What is the Greatest Common Factor of 62070 and 62090?

Greatest common factor (GCF) of 62070 and 62090 is 10.

GCF(62070,62090) = 10

We will now calculate the prime factors of 62070 and 62090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62070 and 62090.

How to find the GCF of 62070 and 62090?

We will first find the prime factorization of 62070 and 62090. After we will calculate the factors of 62070 and 62090 and find the biggest common factor number .

Step-1: Prime Factorization of 62070

Prime factors of 62070 are 2, 3, 5, 2069. Prime factorization of 62070 in exponential form is:

62070 = 2¹ × 3¹ × 5¹ × 2069¹

Step-2: Prime Factorization of 62090

Prime factors of 62090 are 2, 5, 7, 887. Prime factorization of 62090 in exponential form is:

62090 = 2¹ × 5¹ × 7¹ × 887¹

Step-3: Factors of 62070

List of positive integer factors of 62070 that divides 62070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2069, 4138, 6207, 10345, 12414, 20690, 31035

Step-4: Factors of 62090

List of positive integer factors of 62090 that divides 62070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 887, 1774, 4435, 6209, 8870, 12418, 31045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62070 and 62090. The biggest common factor number is the GCF number.
So the greatest common factor 62070 and 62090 is 10.

Also check out the Least Common Multiple of 62070 and 62090