What is the Greatest Common Factor of 62028 and 62032?
Greatest common factor (GCF) of 62028 and 62032 is 4.
GCF(62028,62032) = 4
We will now calculate the prime factors of 62028 and 62032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62028 and 62032.
How to find the GCF of 62028 and 62032?
We will first find the prime factorization of 62028 and 62032. After we will calculate the factors of 62028 and 62032 and find the biggest common factor number .
Step-1: Prime Factorization of 62028
Prime factors of 62028 are 2, 3, 1723. Prime factorization of 62028 in exponential form is:
62028 = 22 × 32 × 17231
Step-2: Prime Factorization of 62032
Prime factors of 62032 are 2, 3877. Prime factorization of 62032 in exponential form is:
62032 = 24 × 38771
Step-3: Factors of 62028
List of positive integer factors of 62028 that divides 62028 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 1723, 3446, 5169, 6892, 10338, 15507, 20676, 31014
Step-4: Factors of 62032
List of positive integer factors of 62032 that divides 62028 without a remainder.
1, 2, 4, 8, 16, 3877, 7754, 15508, 31016
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 62028 and 62032. The biggest common factor number is the GCF number.
So the greatest common factor 62028 and 62032 is 4.
Also check out the Least Common Multiple of 62028 and 62032
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