What is the Greatest Common Factor of 58202 and 58220?
Greatest common factor (GCF) of 58202 and 58220 is 2.
GCF(58202,58220) = 2
We will now calculate the prime factors of 58202 and 58220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58202 and 58220.
How to find the GCF of 58202 and 58220?
We will first find the prime factorization of 58202 and 58220. After we will calculate the factors of 58202 and 58220 and find the biggest common factor number .
Step-1: Prime Factorization of 58202
Prime factors of 58202 are 2, 29101. Prime factorization of 58202 in exponential form is:
58202 = 21 × 291011
Step-2: Prime Factorization of 58220
Prime factors of 58220 are 2, 5, 41, 71. Prime factorization of 58220 in exponential form is:
58220 = 22 × 51 × 411 × 711
Step-3: Factors of 58202
List of positive integer factors of 58202 that divides 58202 without a remainder.
1, 2, 29101
Step-4: Factors of 58220
List of positive integer factors of 58220 that divides 58202 without a remainder.
1, 2, 4, 5, 10, 20, 41, 71, 82, 142, 164, 205, 284, 355, 410, 710, 820, 1420, 2911, 5822, 11644, 14555, 29110
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58202 and 58220. The biggest common factor number is the GCF number.
So the greatest common factor 58202 and 58220 is 2.
Also check out the Least Common Multiple of 58202 and 58220
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