What is the Greatest Common Factor of 62054 and 62060?

Greatest common factor (GCF) of 62054 and 62060 is 2.

GCF(62054,62060) = 2

We will now calculate the prime factors of 62054 and 62060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62054 and 62060.

How to find the GCF of 62054 and 62060?

We will first find the prime factorization of 62054 and 62060. After we will calculate the factors of 62054 and 62060 and find the biggest common factor number .

Step-1: Prime Factorization of 62054

Prime factors of 62054 are 2, 19, 23, 71. Prime factorization of 62054 in exponential form is:

62054 = 2¹ × 19¹ × 23¹ × 71¹

Step-2: Prime Factorization of 62060

Prime factors of 62060 are 2, 5, 29, 107. Prime factorization of 62060 in exponential form is:

62060 = 2² × 5¹ × 29¹ × 107¹

Step-3: Factors of 62054

List of positive integer factors of 62054 that divides 62054 without a remainder.

1, 2, 19, 23, 38, 46, 71, 142, 437, 874, 1349, 1633, 2698, 3266, 31027

Step-4: Factors of 62060

List of positive integer factors of 62060 that divides 62054 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 107, 116, 145, 214, 290, 428, 535, 580, 1070, 2140, 3103, 6206, 12412, 15515, 31030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62054 and 62060. The biggest common factor number is the GCF number.
So the greatest common factor 62054 and 62060 is 2.

Also check out the Least Common Multiple of 62054 and 62060