What is the Greatest Common Factor of 62035 and 62054?

Greatest common factor (GCF) of 62035 and 62054 is 19.

GCF(62035,62054) = 19

We will now calculate the prime factors of 62035 and 62054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62035 and 62054.

How to find the GCF of 62035 and 62054?

We will first find the prime factorization of 62035 and 62054. After we will calculate the factors of 62035 and 62054 and find the biggest common factor number .

Step-1: Prime Factorization of 62035

Prime factors of 62035 are 5, 19, 653. Prime factorization of 62035 in exponential form is:

62035 = 5¹ × 19¹ × 653¹

Step-2: 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-3: Factors of 62035

List of positive integer factors of 62035 that divides 62035 without a remainder.

1, 5, 19, 95, 653, 3265, 12407

Step-4: Factors of 62054

List of positive integer factors of 62054 that divides 62035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62035 and 62054. The biggest common factor number is the GCF number.
So the greatest common factor 62035 and 62054 is 19.

Also check out the Least Common Multiple of 62035 and 62054