What is the Greatest Common Factor of 62031 and 62040?

Greatest common factor (GCF) of 62031 and 62040 is 3.

GCF(62031,62040) = 3

We will now calculate the prime factors of 62031 and 62040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62031 and 62040.

How to find the GCF of 62031 and 62040?

We will first find the prime factorization of 62031 and 62040. After we will calculate the factors of 62031 and 62040 and find the biggest common factor number .

Step-1: Prime Factorization of 62031

Prime factors of 62031 are 3, 23, 29, 31. Prime factorization of 62031 in exponential form is:

62031 = 3¹ × 23¹ × 29¹ × 31¹

Step-2: Prime Factorization of 62040

Prime factors of 62040 are 2, 3, 5, 11, 47. Prime factorization of 62040 in exponential form is:

62040 = 2³ × 3¹ × 5¹ × 11¹ × 47¹

Step-3: Factors of 62031

List of positive integer factors of 62031 that divides 62031 without a remainder.

1, 3, 23, 29, 31, 69, 87, 93, 667, 713, 899, 2001, 2139, 2697, 20677

Step-4: Factors of 62040

List of positive integer factors of 62040 that divides 62031 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 47, 55, 60, 66, 88, 94, 110, 120, 132, 141, 165, 188, 220, 235, 264, 282, 330, 376, 440, 470, 517, 564, 660, 705, 940, 1034, 1128, 1320, 1410, 1551, 1880, 2068, 2585, 2820, 3102, 4136, 5170, 5640, 6204, 7755, 10340, 12408, 15510, 20680, 31020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62031 and 62040. The biggest common factor number is the GCF number.
So the greatest common factor 62031 and 62040 is 3.

Also check out the Least Common Multiple of 62031 and 62040