What is the Greatest Common Factor of 62040 and 62049?

Greatest common factor (GCF) of 62040 and 62049 is 3.

GCF(62040,62049) = 3

We will now calculate the prime factors of 62040 and 62049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62040 and 62049.

How to find the GCF of 62040 and 62049?

We will first find the prime factorization of 62040 and 62049. After we will calculate the factors of 62040 and 62049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62049

Prime factors of 62049 are 3, 13, 37, 43. Prime factorization of 62049 in exponential form is:

62049 = 3¹ × 13¹ × 37¹ × 43¹

Step-3: Factors of 62040

List of positive integer factors of 62040 that divides 62040 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

Step-4: Factors of 62049

List of positive integer factors of 62049 that divides 62040 without a remainder.

1, 3, 13, 37, 39, 43, 111, 129, 481, 559, 1443, 1591, 1677, 4773, 20683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62040 and 62049. The biggest common factor number is the GCF number.
So the greatest common factor 62040 and 62049 is 3.

Also check out the Least Common Multiple of 62040 and 62049