What is the Greatest Common Factor of 62472 and 62491?
Greatest common factor (GCF) of 62472 and 62491 is 19.
GCF(62472,62491) = 19
We will now calculate the prime factors of 62472 and 62491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62472 and 62491.
How to find the GCF of 62472 and 62491?
We will first find the prime factorization of 62472 and 62491. After we will calculate the factors of 62472 and 62491 and find the biggest common factor number .
Step-1: Prime Factorization of 62472
Prime factors of 62472 are 2, 3, 19, 137. Prime factorization of 62472 in exponential form is:
62472 = 23 × 31 × 191 × 1371
Step-2: Prime Factorization of 62491
Prime factors of 62491 are 11, 13, 19, 23. Prime factorization of 62491 in exponential form is:
62491 = 111 × 131 × 191 × 231
Step-3: Factors of 62472
List of positive integer factors of 62472 that divides 62472 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 137, 152, 228, 274, 411, 456, 548, 822, 1096, 1644, 2603, 3288, 5206, 7809, 10412, 15618, 20824, 31236
Step-4: Factors of 62491
List of positive integer factors of 62491 that divides 62472 without a remainder.
1, 11, 13, 19, 23, 143, 209, 247, 253, 299, 437, 2717, 3289, 4807, 5681
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 62472 and 62491. The biggest common factor number is the GCF number.
So the greatest common factor 62472 and 62491 is 19.
Also check out the Least Common Multiple of 62472 and 62491
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