What is the Greatest Common Factor of 62054 and 62064?

Greatest common factor (GCF) of 62054 and 62064 is 2.

GCF(62054,62064) = 2

We will now calculate the prime factors of 62054 and 62064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62054 and 62064.

How to find the GCF of 62054 and 62064?

We will first find the prime factorization of 62054 and 62064. After we will calculate the factors of 62054 and 62064 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 62064

Prime factors of 62064 are 2, 3, 431. Prime factorization of 62064 in exponential form is:

62064 = 2⁴ × 3² × 431¹

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 62064

List of positive integer factors of 62064 that divides 62054 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 6896, 7758, 10344, 15516, 20688, 31032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62054 and 62064. The biggest common factor number is the GCF number.
So the greatest common factor 62054 and 62064 is 2.

Also check out the Least Common Multiple of 62054 and 62064